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Finding the Fourth Proportional to 675,931.02, 932,785.64 and 421,282

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Solution

The fourth proportional to 675,931.02, 932,785.64 and 421,282 is: 581,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    675,931.02 : 932,785.64 = 421,282 : x
  2. Step 2: Convert to fraction form
    675,931.02/932,785.64 = 421,282/x
  3. Step 3: Cross multiply
    675,931.02x = 932,785.64 × 421,282
  4. Step 4: Simplify right side
    675,931.02x = 392,965,799,990.48
  5. Step 5: Solve for x
    x = 392,965,799,990.48/675,931.02
  6. Step 6: Final answer
    x = 581,369.68

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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.