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Finding the Fourth Proportional to 521,434.50, 719,579.61 and 282,970.50

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Solution

The fourth proportional to 521,434.50, 719,579.61 and 282,970.50 is: 390,499.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,434.50 : 719,579.61 = 282,970.50 : x
  2. Step 2: Convert to fraction form
    521,434.50/719,579.61 = 282,970.50/x
  3. Step 3: Cross multiply
    521,434.50x = 719,579.61 × 282,970.50
  4. Step 4: Simplify right side
    521,434.50x = 203,619,802,031.51
  5. Step 5: Solve for x
    x = 203,619,802,031.51/521,434.50
  6. Step 6: Final answer
    x = 390,499.29

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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.