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Finding the Fourth Proportional to 390,106.98, 584,994.31 and 153,283.53

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Solution

The fourth proportional to 390,106.98, 584,994.31 and 153,283.53 is: 229,860.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,106.98 : 584,994.31 = 153,283.53 : x
  2. Step 2: Convert to fraction form
    390,106.98/584,994.31 = 153,283.53/x
  3. Step 3: Cross multiply
    390,106.98x = 584,994.31 × 153,283.53
  4. Step 4: Simplify right side
    390,106.98x = 89,669,992,866.71
  5. Step 5: Solve for x
    x = 89,669,992,866.71/390,106.98
  6. Step 6: Final answer
    x = 229,860.01

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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.