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Finding the Fourth Proportional to 564,220.30, 778,624.96 and 309,573.32

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Solution

The fourth proportional to 564,220.30, 778,624.96 and 309,573.32 is: 427,211.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,220.30 : 778,624.96 = 309,573.32 : x
  2. Step 2: Convert to fraction form
    564,220.30/778,624.96 = 309,573.32/x
  3. Step 3: Cross multiply
    564,220.30x = 778,624.96 × 309,573.32
  4. Step 4: Simplify right side
    564,220.30x = 241,041,513,902.07
  5. Step 5: Solve for x
    x = 241,041,513,902.07/564,220.30
  6. Step 6: Final answer
    x = 427,211.70

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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.