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Finding the Fourth Proportional to 390,878.40, 539,421.32 and 218,792.08

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Solution

The fourth proportional to 390,878.40, 539,421.32 and 218,792.08 is: 301,938.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,878.40 : 539,421.32 = 218,792.08 : x
  2. Step 2: Convert to fraction form
    390,878.40/539,421.32 = 218,792.08/x
  3. Step 3: Cross multiply
    390,878.40x = 539,421.32 × 218,792.08
  4. Step 4: Simplify right side
    390,878.40x = 118,021,112,599.15
  5. Step 5: Solve for x
    x = 118,021,112,599.15/390,878.40
  6. Step 6: Final answer
    x = 301,938.18

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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.