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Finding the Fourth Proportional to 415,421.64, 573,281.88 and 224,435.03

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Solution

The fourth proportional to 415,421.64, 573,281.88 and 224,435.03 is: 309,720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,421.64 : 573,281.88 = 224,435.03 : x
  2. Step 2: Convert to fraction form
    415,421.64/573,281.88 = 224,435.03/x
  3. Step 3: Cross multiply
    415,421.64x = 573,281.88 × 224,435.03
  4. Step 4: Simplify right side
    415,421.64x = 128,664,534,471.79
  5. Step 5: Solve for x
    x = 128,664,534,471.79/415,421.64
  6. Step 6: Final answer
    x = 309,720.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.