Finding the Fourth Proportional to 938,210,773.14, 1,294,706,216.12 and 514,823,133.65
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Solution
The fourth proportional to 938,210,773.14, 1,294,706,216.12 and 514,823,133.65 is: 710,442,397.82
Step by Step Solution
- Step 1: Write the proportion equation
938,210,773.14 : 1,294,706,216.12 = 514,823,133.65 : x - Step 2: Convert to fraction form
938,210,773.14/1,294,706,216.12 = 514,823,133.65/x - Step 3: Cross multiply
938,210,773.14x = 1,294,706,216.12 × 514,823,133.65 - Step 4: Simplify right side
938,210,773.14x = 666,544,711,329,984,896 - Step 5: Solve for x
x = 666,544,711,329,984,896/938,210,773.14 - Step 6: Final answer
x = 710,442,397.82
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Double scale
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1.5x scale
Why These Related Problems?
These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.