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Finding the Fourth Proportional to 507,303.52, 698,485.48 and 430,663.75

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Solution

The fourth proportional to 507,303.52, 698,485.48 and 430,663.75 is: 592,963.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,303.52 : 698,485.48 = 430,663.75 : x
  2. Step 2: Convert to fraction form
    507,303.52/698,485.48 = 430,663.75/x
  3. Step 3: Cross multiply
    507,303.52x = 698,485.48 × 430,663.75
  4. Step 4: Simplify right side
    507,303.52x = 300,812,376,137.35
  5. Step 5: Solve for x
    x = 300,812,376,137.35/507,303.52
  6. Step 6: Final answer
    x = 592,963.31

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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.