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Finding the Fourth Proportional to 564,085.89, 778,434.30 and 309,435.39

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Solution

The fourth proportional to 564,085.89, 778,434.30 and 309,435.39 is: 427,018.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,085.89 : 778,434.30 = 309,435.39 : x
  2. Step 2: Convert to fraction form
    564,085.89/778,434.30 = 309,435.39/x
  3. Step 3: Cross multiply
    564,085.89x = 778,434.30 × 309,435.39
  4. Step 4: Simplify right side
    564,085.89x = 240,875,121,209.88
  5. Step 5: Solve for x
    x = 240,875,121,209.88/564,085.89
  6. Step 6: Final answer
    x = 427,018.52

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Double scale
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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.