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Finding the Fourth Proportional to 553,281.40, 830,699.70 and 435,086.20

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Solution

The fourth proportional to 553,281.40, 830,699.70 and 435,086.20 is: 653,240.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,281.40 : 830,699.70 = 435,086.20 : x
  2. Step 2: Convert to fraction form
    553,281.40/830,699.70 = 435,086.20/x
  3. Step 3: Cross multiply
    553,281.40x = 830,699.70 × 435,086.20
  4. Step 4: Simplify right side
    553,281.40x = 361,425,975,814.14
  5. Step 5: Solve for x
    x = 361,425,975,814.14/553,281.40
  6. Step 6: Final answer
    x = 653,240.78

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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.