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Finding the Fourth Proportional to 713,071.12, 983,913.42 and 407,007.76

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Solution

The fourth proportional to 713,071.12, 983,913.42 and 407,007.76 is: 561,599.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,071.12 : 983,913.42 = 407,007.76 : x
  2. Step 2: Convert to fraction form
    713,071.12/983,913.42 = 407,007.76/x
  3. Step 3: Cross multiply
    713,071.12x = 983,913.42 × 407,007.76
  4. Step 4: Simplify right side
    713,071.12x = 400,460,397,108.14
  5. Step 5: Solve for x
    x = 400,460,397,108.14/713,071.12
  6. Step 6: Final answer
    x = 561,599.52

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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.