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Finding the Fourth Proportional to 470,901.60, 706,352.40 and 434,959.20

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Solution

The fourth proportional to 470,901.60, 706,352.40 and 434,959.20 is: 652,438.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,901.60 : 706,352.40 = 434,959.20 : x
  2. Step 2: Convert to fraction form
    470,901.60/706,352.40 = 434,959.20/x
  3. Step 3: Cross multiply
    470,901.60x = 706,352.40 × 434,959.20
  4. Step 4: Simplify right side
    470,901.60x = 307,234,474,822.08
  5. Step 5: Solve for x
    x = 307,234,474,822.08/470,901.60
  6. Step 6: Final answer
    x = 652,438.80

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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.