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Finding the Fourth Proportional to 464,726.57, 641,530.71 and 283,510.72

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Solution

The fourth proportional to 464,726.57, 641,530.71 and 283,510.72 is: 391,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    464,726.57 : 641,530.71 = 283,510.72 : x
  2. Step 2: Convert to fraction form
    464,726.57/641,530.71 = 283,510.72/x
  3. Step 3: Cross multiply
    464,726.57x = 641,530.71 × 283,510.72
  4. Step 4: Simplify right side
    464,726.57x = 181,880,829,890.14
  5. Step 5: Solve for x
    x = 181,880,829,890.14/464,726.57
  6. Step 6: Final answer
    x = 391,371.70

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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.