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Finding the Fourth Proportional to 418,878.36, 578,008.98 and 249,079.68

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Solution

The fourth proportional to 418,878.36, 578,008.98 and 249,079.68 is: 343,704.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,878.36 : 578,008.98 = 249,079.68 : x
  2. Step 2: Convert to fraction form
    418,878.36/578,008.98 = 249,079.68/x
  3. Step 3: Cross multiply
    418,878.36x = 578,008.98 × 249,079.68
  4. Step 4: Simplify right side
    418,878.36x = 143,970,291,775.53
  5. Step 5: Solve for x
    x = 143,970,291,775.53/418,878.36
  6. Step 6: Final answer
    x = 343,704.30

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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.