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Finding the Fourth Proportional to 564,074.76, 778,423.16 and 309,426.54

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Solution

The fourth proportional to 564,074.76, 778,423.16 and 309,426.54 is: 427,008.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,074.76 : 778,423.16 = 309,426.54 : x
  2. Step 2: Convert to fraction form
    564,074.76/778,423.16 = 309,426.54/x
  3. Step 3: Cross multiply
    564,074.76x = 778,423.16 × 309,426.54
  4. Step 4: Simplify right side
    564,074.76x = 240,864,785,054.67
  5. Step 5: Solve for x
    x = 240,864,785,054.67/564,074.76
  6. Step 6: Final answer
    x = 427,008.62

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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.