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Finding the Fourth Proportional to 287,913.76, 431,870.64 and 147,582.88

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Solution

The fourth proportional to 287,913.76, 431,870.64 and 147,582.88 is: 221,374.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,913.76 : 431,870.64 = 147,582.88 : x
  2. Step 2: Convert to fraction form
    287,913.76/431,870.64 = 147,582.88/x
  3. Step 3: Cross multiply
    287,913.76x = 431,870.64 × 147,582.88
  4. Step 4: Simplify right side
    287,913.76x = 63,736,712,838.64
  5. Step 5: Solve for x
    x = 63,736,712,838.64/287,913.76
  6. Step 6: Final answer
    x = 221,374.32

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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.