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Finding the Fourth Proportional to 478,102.77, 716,986.98 and 141,053.94

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Solution

The fourth proportional to 478,102.77, 716,986.98 and 141,053.94 is: 211,531.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    478,102.77 : 716,986.98 = 141,053.94 : x
  2. Step 2: Convert to fraction form
    478,102.77/716,986.98 = 141,053.94/x
  3. Step 3: Cross multiply
    478,102.77x = 716,986.98 × 141,053.94
  4. Step 4: Simplify right side
    478,102.77x = 101,133,838,457.70
  5. Step 5: Solve for x
    x = 101,133,838,457.70/478,102.77
  6. Step 6: Final answer
    x = 211,531.59

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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.