Finding the Fourth Proportional to 688,305,816.18, 1,031,723,545.74 and 392,564,214.09
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Solution
The fourth proportional to 688,305,816.18, 1,031,723,545.74 and 392,564,214.09 is: 588,427,023.82
Step by Step Solution
- Step 1: Write the proportion equation
688,305,816.18 : 1,031,723,545.74 = 392,564,214.09 : x - Step 2: Convert to fraction form
688,305,816.18/1,031,723,545.74 = 392,564,214.09/x - Step 3: Cross multiply
688,305,816.18x = 1,031,723,545.74 × 392,564,214.09 - Step 4: Simplify right side
688,305,816.18x = 405,017,742,893,987,712 - Step 5: Solve for x
x = 405,017,742,893,987,712/688,305,816.18 - Step 6: Final answer
x = 588,427,023.82
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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.