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Finding the Fourth Proportional to 390,597.40, 539,028.66 and 229,459.24

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Solution

The fourth proportional to 390,597.40, 539,028.66 and 229,459.24 is: 316,656.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,597.40 : 539,028.66 = 229,459.24 : x
  2. Step 2: Convert to fraction form
    390,597.40/539,028.66 = 229,459.24/x
  3. Step 3: Cross multiply
    390,597.40x = 539,028.66 × 229,459.24
  4. Step 4: Simplify right side
    390,597.40x = 123,685,106,661.82
  5. Step 5: Solve for x
    x = 123,685,106,661.82/390,597.40
  6. Step 6: Final answer
    x = 316,656.25

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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.