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Finding the Fourth Proportional to 409,045.77, 564,510.30 and 247,916.10

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Solution

The fourth proportional to 409,045.77, 564,510.30 and 247,916.10 is: 342,140.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,045.77 : 564,510.30 = 247,916.10 : x
  2. Step 2: Convert to fraction form
    409,045.77/564,510.30 = 247,916.10/x
  3. Step 3: Cross multiply
    409,045.77x = 564,510.30 × 247,916.10
  4. Step 4: Simplify right side
    409,045.77x = 139,951,191,985.83
  5. Step 5: Solve for x
    x = 139,951,191,985.83/409,045.77
  6. Step 6: Final answer
    x = 342,140.67

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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.