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Finding the Fourth Proportional to 429,803.61, 644,710.28 and 130,281.81

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Solution

The fourth proportional to 429,803.61, 644,710.28 and 130,281.81 is: 195,424.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,803.61 : 644,710.28 = 130,281.81 : x
  2. Step 2: Convert to fraction form
    429,803.61/644,710.28 = 130,281.81/x
  3. Step 3: Cross multiply
    429,803.61x = 644,710.28 × 130,281.81
  4. Step 4: Simplify right side
    429,803.61x = 83,994,021,552.60
  5. Step 5: Solve for x
    x = 83,994,021,552.60/429,803.61
  6. Step 6: Final answer
    x = 195,424.19

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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.