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Finding the Fourth Proportional to 487,111.80, 728,699.40 and 421,283.10

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Solution

The fourth proportional to 487,111.80, 728,699.40 and 421,283.10 is: 630,222.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,111.80 : 728,699.40 = 421,283.10 : x
  2. Step 2: Convert to fraction form
    487,111.80/728,699.40 = 421,283.10/x
  3. Step 3: Cross multiply
    487,111.80x = 728,699.40 × 421,283.10
  4. Step 4: Simplify right side
    487,111.80x = 306,988,742,200.14
  5. Step 5: Solve for x
    x = 306,988,742,200.14/487,111.80
  6. Step 6: Final answer
    x = 630,222.35

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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.