Finding the Fourth Proportional to 927,148,032,164.40, 1,390,722,048,246.60 and 778,378,564,388.45
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Solution
The fourth proportional to 927,148,032,164.40, 1,390,722,048,246.60 and 778,378,564,388.45 is: 1,167,567,846,582.68
Step by Step Solution
- Step 1: Write the proportion equation
927,148,032,164.40 : 1,390,722,048,246.60 = 778,378,564,388.45 : x - Step 2: Convert to fraction form
927,148,032,164.40/1,390,722,048,246.60 = 778,378,564,388.45/x - Step 3: Cross multiply
927,148,032,164.40x = 1,390,722,048,246.60 × 778,378,564,388.45 - Step 4: Simplify right side
927,148,032,164.40x = 1,082,508,231,377,553,230,659,584 - Step 5: Solve for x
x = 1,082,508,231,377,553,230,659,584/927,148,032,164.40 - Step 6: Final answer
x = 1,167,567,846,582.68
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.