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Finding the Fourth Proportional to 287,730.80, 431,423.40 and 147,762.80

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Solution

The fourth proportional to 287,730.80, 431,423.40 and 147,762.80 is: 221,555.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,730.80 : 431,423.40 = 147,762.80 : x
  2. Step 2: Convert to fraction form
    287,730.80/431,423.40 = 147,762.80/x
  3. Step 3: Cross multiply
    287,730.80x = 431,423.40 × 147,762.80
  4. Step 4: Simplify right side
    287,730.80x = 63,748,329,569.52
  5. Step 5: Solve for x
    x = 63,748,329,569.52/287,730.80
  6. Step 6: Final answer
    x = 221,555.46

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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.