Finding the Fourth Proportional to 497,931,013.68, 686,506,069.35 and 408,292,695.78
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Solution
The fourth proportional to 497,931,013.68, 686,506,069.35 and 408,292,695.78 is: 562,920,175.73
Step by Step Solution
- Step 1: Write the proportion equation
497,931,013.68 : 686,506,069.35 = 408,292,695.78 : x - Step 2: Convert to fraction form
497,931,013.68/686,506,069.35 = 408,292,695.78/x - Step 3: Cross multiply
497,931,013.68x = 686,506,069.35 × 408,292,695.78 - Step 4: Simplify right side
497,931,013.68x = 280,295,413,724,243,136 - Step 5: Solve for x
x = 280,295,413,724,243,136/497,931,013.68 - Step 6: Final answer
x = 562,920,175.73
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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.