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Finding the Fourth Proportional to 649,674.67, 974,068.53 and 346,114.21

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Solution

The fourth proportional to 649,674.67, 974,068.53 and 346,114.21 is: 518,935.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,674.67 : 974,068.53 = 346,114.21 : x
  2. Step 2: Convert to fraction form
    649,674.67/974,068.53 = 346,114.21/x
  3. Step 3: Cross multiply
    649,674.67x = 974,068.53 × 346,114.21
  4. Step 4: Simplify right side
    649,674.67x = 337,138,959,746.81
  5. Step 5: Solve for x
    x = 337,138,959,746.81/649,674.67
  6. Step 6: Final answer
    x = 518,935.05

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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.