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Finding the Fourth Proportional to 529,765, 731,075.70 and 291,301

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Solution

The fourth proportional to 529,765, 731,075.70 and 291,301 is: 401,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,765 : 731,075.70 = 291,301 : x
  2. Step 2: Convert to fraction form
    529,765/731,075.70 = 291,301/x
  3. Step 3: Cross multiply
    529,765x = 731,075.70 × 291,301
  4. Step 4: Simplify right side
    529,765x = 212,963,082,485.70
  5. Step 5: Solve for x
    x = 212,963,082,485.70/529,765
  6. Step 6: Final answer
    x = 401,995.38

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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.