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Finding the Fourth Proportional to 477,655.92, 716,457.96 and 145,206

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Solution

The fourth proportional to 477,655.92, 716,457.96 and 145,206 is: 217,801.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,655.92 : 716,457.96 = 145,206 : x
  2. Step 2: Convert to fraction form
    477,655.92/716,457.96 = 145,206/x
  3. Step 3: Cross multiply
    477,655.92x = 716,457.96 × 145,206
  4. Step 4: Simplify right side
    477,655.92x = 104,033,994,539.76
  5. Step 5: Solve for x
    x = 104,033,994,539.76/477,655.92
  6. Step 6: Final answer
    x = 217,801.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.