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Finding the Fourth Proportional to 566,717.04, 782,070.66 and 312,068.70

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Solution

The fourth proportional to 566,717.04, 782,070.66 and 312,068.70 is: 430,655.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,717.04 : 782,070.66 = 312,068.70 : x
  2. Step 2: Convert to fraction form
    566,717.04/782,070.66 = 312,068.70/x
  3. Step 3: Cross multiply
    566,717.04x = 782,070.66 × 312,068.70
  4. Step 4: Simplify right side
    566,717.04x = 244,059,774,174.34
  5. Step 5: Solve for x
    x = 244,059,774,174.34/566,717.04
  6. Step 6: Final answer
    x = 430,655.44

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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.