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Finding the Fourth Proportional to 529,232, 730,340.16 and 290,768

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Solution

The fourth proportional to 529,232, 730,340.16 and 290,768 is: 401,259.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,232 : 730,340.16 = 290,768 : x
  2. Step 2: Convert to fraction form
    529,232/730,340.16 = 290,768/x
  3. Step 3: Cross multiply
    529,232x = 730,340.16 × 290,768
  4. Step 4: Simplify right side
    529,232x = 212,359,547,642.88
  5. Step 5: Solve for x
    x = 212,359,547,642.88/529,232
  6. Step 6: Final answer
    x = 401,259.84

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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.