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Finding the Fourth Proportional to 525,120.71, 787,681.82 and 146,041.47

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Solution

The fourth proportional to 525,120.71, 787,681.82 and 146,041.47 is: 219,062.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,120.71 : 787,681.82 = 146,041.47 : x
  2. Step 2: Convert to fraction form
    525,120.71/787,681.82 = 146,041.47/x
  3. Step 3: Cross multiply
    525,120.71x = 787,681.82 × 146,041.47
  4. Step 4: Simplify right side
    525,120.71x = 115,034,210,154.87
  5. Step 5: Solve for x
    x = 115,034,210,154.87/525,120.71
  6. Step 6: Final answer
    x = 219,062.42

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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.