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Finding the Fourth Proportional to 564,417.15, 778,896.17 and 306,294.10

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Solution

The fourth proportional to 564,417.15, 778,896.17 and 306,294.10 is: 422,686.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,417.15 : 778,896.17 = 306,294.10 : x
  2. Step 2: Convert to fraction form
    564,417.15/778,896.17 = 306,294.10/x
  3. Step 3: Cross multiply
    564,417.15x = 778,896.17 × 306,294.10
  4. Step 4: Simplify right side
    564,417.15x = 238,571,301,383.60
  5. Step 5: Solve for x
    x = 238,571,301,383.60/564,417.15
  6. Step 6: Final answer
    x = 422,686.13

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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.