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Finding the Fourth Proportional to 520,071.52, 780,203.76 and 164,989.60

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Solution

The fourth proportional to 520,071.52, 780,203.76 and 164,989.60 is: 247,515.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,071.52 : 780,203.76 = 164,989.60 : x
  2. Step 2: Convert to fraction form
    520,071.52/780,203.76 = 164,989.60/x
  3. Step 3: Cross multiply
    520,071.52x = 780,203.76 × 164,989.60
  4. Step 4: Simplify right side
    520,071.52x = 128,725,506,280.90
  5. Step 5: Solve for x
    x = 128,725,506,280.90/520,071.52
  6. Step 6: Final answer
    x = 247,515.01

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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.