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Finding the Fourth Proportional to 287,859.40, 432,005.10 and 147,545.80

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Solution

The fourth proportional to 287,859.40, 432,005.10 and 147,545.80 is: 221,429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,859.40 : 432,005.10 = 147,545.80 : x
  2. Step 2: Convert to fraction form
    287,859.40/432,005.10 = 147,545.80/x
  3. Step 3: Cross multiply
    287,859.40x = 432,005.10 × 147,545.80
  4. Step 4: Simplify right side
    287,859.40x = 63,740,538,083.58
  5. Step 5: Solve for x
    x = 63,740,538,083.58/287,859.40
  6. Step 6: Final answer
    x = 221,429.41

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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.