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Finding the Fourth Proportional to 601,780.04, 830,541.62 and 372,411.20

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Solution

The fourth proportional to 601,780.04, 830,541.62 and 372,411.20 is: 513,980.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,780.04 : 830,541.62 = 372,411.20 : x
  2. Step 2: Convert to fraction form
    601,780.04/830,541.62 = 372,411.20/x
  3. Step 3: Cross multiply
    601,780.04x = 830,541.62 × 372,411.20
  4. Step 4: Simplify right side
    601,780.04x = 309,303,001,354.14
  5. Step 5: Solve for x
    x = 309,303,001,354.14/601,780.04
  6. Step 6: Final answer
    x = 513,980.16

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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.