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Finding the Fourth Proportional to 567,155.16, 782,709.08 and 312,506.28

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Solution

The fourth proportional to 567,155.16, 782,709.08 and 312,506.28 is: 431,277.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,155.16 : 782,709.08 = 312,506.28 : x
  2. Step 2: Convert to fraction form
    567,155.16/782,709.08 = 312,506.28/x
  3. Step 3: Cross multiply
    567,155.16x = 782,709.08 × 312,506.28
  4. Step 4: Simplify right side
    567,155.16x = 244,601,502,913.02
  5. Step 5: Solve for x
    x = 244,601,502,913.02/567,155.16
  6. Step 6: Final answer
    x = 431,277.93

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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.