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Finding the Fourth Proportional to 519,970.47, 780,006.74 and 216,302.01

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Solution

The fourth proportional to 519,970.47, 780,006.74 and 216,302.01 is: 324,474.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,970.47 : 780,006.74 = 216,302.01 : x
  2. Step 2: Convert to fraction form
    519,970.47/780,006.74 = 216,302.01/x
  3. Step 3: Cross multiply
    519,970.47x = 780,006.74 × 216,302.01
  4. Step 4: Simplify right side
    519,970.47x = 168,717,024,594.04
  5. Step 5: Solve for x
    x = 168,717,024,594.04/519,970.47
  6. Step 6: Final answer
    x = 324,474.24

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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.