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Finding the Fourth Proportional to 553,686.70, 830,011.65 and 433,677.10

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Solution

The fourth proportional to 553,686.70, 830,011.65 and 433,677.10 is: 650,109.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,686.70 : 830,011.65 = 433,677.10 : x
  2. Step 2: Convert to fraction form
    553,686.70/830,011.65 = 433,677.10/x
  3. Step 3: Cross multiply
    553,686.70x = 830,011.65 × 433,677.10
  4. Step 4: Simplify right side
    553,686.70x = 359,957,045,338.22
  5. Step 5: Solve for x
    x = 359,957,045,338.22/553,686.70
  6. Step 6: Final answer
    x = 650,109.61

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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.