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Finding the Fourth Proportional to 659,283.36, 909,812.16 and 357,477.36

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Solution

The fourth proportional to 659,283.36, 909,812.16 and 357,477.36 is: 493,319.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,283.36 : 909,812.16 = 357,477.36 : x
  2. Step 2: Convert to fraction form
    659,283.36/909,812.16 = 357,477.36/x
  3. Step 3: Cross multiply
    659,283.36x = 909,812.16 × 357,477.36
  4. Step 4: Simplify right side
    659,283.36x = 325,237,249,052.70
  5. Step 5: Solve for x
    x = 325,237,249,052.70/659,283.36
  6. Step 6: Final answer
    x = 493,319.37

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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.