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Finding the Fourth Proportional to 498,647.16, 688,187.28 and 307,655.64

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Solution

The fourth proportional to 498,647.16, 688,187.28 and 307,655.64 is: 424,598.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,647.16 : 688,187.28 = 307,655.64 : x
  2. Step 2: Convert to fraction form
    498,647.16/688,187.28 = 307,655.64/x
  3. Step 3: Cross multiply
    498,647.16x = 688,187.28 × 307,655.64
  4. Step 4: Simplify right side
    498,647.16x = 211,724,698,068.26
  5. Step 5: Solve for x
    x = 211,724,698,068.26/498,647.16
  6. Step 6: Final answer
    x = 424,598.22

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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.