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Finding the Fourth Proportional to 472,901.60, 709,417.20 and 157,325.60

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Solution

The fourth proportional to 472,901.60, 709,417.20 and 157,325.60 is: 236,009.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,901.60 : 709,417.20 = 157,325.60 : x
  2. Step 2: Convert to fraction form
    472,901.60/709,417.20 = 157,325.60/x
  3. Step 3: Cross multiply
    472,901.60x = 709,417.20 × 157,325.60
  4. Step 4: Simplify right side
    472,901.60x = 111,609,486,640.32
  5. Step 5: Solve for x
    x = 111,609,486,640.32/472,901.60
  6. Step 6: Final answer
    x = 236,009.96

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1.5x scale

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.