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Finding the Fourth Proportional to 713,225.75, 1,070,302.46 and 308,812.91

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Solution

The fourth proportional to 713,225.75, 1,070,302.46 and 308,812.91 is: 463,420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,225.75 : 1,070,302.46 = 308,812.91 : x
  2. Step 2: Convert to fraction form
    713,225.75/1,070,302.46 = 308,812.91/x
  3. Step 3: Cross multiply
    713,225.75x = 1,070,302.46 × 308,812.91
  4. Step 4: Simplify right side
    713,225.75x = 330,523,210,357.18
  5. Step 5: Solve for x
    x = 330,523,210,357.18/713,225.75
  6. Step 6: Final answer
    x = 463,420.19

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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.