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Finding the Fourth Proportional to 586,042.21, 877,925.88 and 431,888.23

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Solution

The fourth proportional to 586,042.21, 877,925.88 and 431,888.23 is: 646,994.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,042.21 : 877,925.88 = 431,888.23 : x
  2. Step 2: Convert to fraction form
    586,042.21/877,925.88 = 431,888.23/x
  3. Step 3: Cross multiply
    586,042.21x = 877,925.88 × 431,888.23
  4. Step 4: Simplify right side
    586,042.21x = 379,165,854,384.39
  5. Step 5: Solve for x
    x = 379,165,854,384.39/586,042.21
  6. Step 6: Final answer
    x = 646,994.10

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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.