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Finding the Fourth Proportional to 875,031, 1,207,543.60 and 472,623

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Solution

The fourth proportional to 875,031, 1,207,543.60 and 472,623 is: 652,220.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    875,031 : 1,207,543.60 = 472,623 : x
  2. Step 2: Convert to fraction form
    875,031/1,207,543.60 = 472,623/x
  3. Step 3: Cross multiply
    875,031x = 1,207,543.60 × 472,623
  4. Step 4: Simplify right side
    875,031x = 570,712,878,862.80
  5. Step 5: Solve for x
    x = 570,712,878,862.80/875,031
  6. Step 6: Final answer
    x = 652,220.18

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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.