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Finding the Fourth Proportional to 488,349, 735,851.13 and 401,547

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Solution

The fourth proportional to 488,349, 735,851.13 and 401,547 is: 605,056.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,349 : 735,851.13 = 401,547 : x
  2. Step 2: Convert to fraction form
    488,349/735,851.13 = 401,547/x
  3. Step 3: Cross multiply
    488,349x = 735,851.13 × 401,547
  4. Step 4: Simplify right side
    488,349x = 295,478,813,698.11
  5. Step 5: Solve for x
    x = 295,478,813,698.11/488,349
  6. Step 6: Final answer
    x = 605,056.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.