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Finding the Fourth Proportional to 429,465.60, 644,284.80 and 148,924.80

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Solution

The fourth proportional to 429,465.60, 644,284.80 and 148,924.80 is: 223,417.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,465.60 : 644,284.80 = 148,924.80 : x
  2. Step 2: Convert to fraction form
    429,465.60/644,284.80 = 148,924.80/x
  3. Step 3: Cross multiply
    429,465.60x = 644,284.80 × 148,924.80
  4. Step 4: Simplify right side
    429,465.60x = 95,949,984,983.04
  5. Step 5: Solve for x
    x = 95,949,984,983.04/429,465.60
  6. Step 6: Final answer
    x = 223,417.16

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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.