Finding the Fourth Proportional to 286,269,652,345.40, 429,404,478,518.10 and 97,828,326,495.80
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Solution
The fourth proportional to 286,269,652,345.40, 429,404,478,518.10 and 97,828,326,495.80 is: 146,742,489,743.70
Step by Step Solution
- Step 1: Write the proportion equation
286,269,652,345.40 : 429,404,478,518.10 = 97,828,326,495.80 : x - Step 2: Convert to fraction form
286,269,652,345.40/429,404,478,518.10 = 97,828,326,495.80/x - Step 3: Cross multiply
286,269,652,345.40x = 429,404,478,518.10 × 97,828,326,495.80 - Step 4: Simplify right side
286,269,652,345.40x = 42,007,921,523,227,426,291,712 - Step 5: Solve for x
x = 42,007,921,523,227,426,291,712/286,269,652,345.40 - Step 6: Final answer
x = 146,742,489,743.70
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1.5x scale
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.