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Finding the Fourth Proportional to 564,266.86, 778,688.37 and 322,554.76

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Solution

The fourth proportional to 564,266.86, 778,688.37 and 322,554.76 is: 445,125.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,266.86 : 778,688.37 = 322,554.76 : x
  2. Step 2: Convert to fraction form
    564,266.86/778,688.37 = 322,554.76/x
  3. Step 3: Cross multiply
    564,266.86x = 778,688.37 × 322,554.76
  4. Step 4: Simplify right side
    564,266.86x = 251,169,638,353.42
  5. Step 5: Solve for x
    x = 251,169,638,353.42/564,266.86
  6. Step 6: Final answer
    x = 445,125.63

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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.