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Finding the Fourth Proportional to 583,347, 805,019.40 and 315,075

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Solution

The fourth proportional to 583,347, 805,019.40 and 315,075 is: 434,803.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,347 : 805,019.40 = 315,075 : x
  2. Step 2: Convert to fraction form
    583,347/805,019.40 = 315,075/x
  3. Step 3: Cross multiply
    583,347x = 805,019.40 × 315,075
  4. Step 4: Simplify right side
    583,347x = 253,641,487,455
  5. Step 5: Solve for x
    x = 253,641,487,455/583,347
  6. Step 6: Final answer
    x = 434,803.79

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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.