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Finding the Fourth Proportional to 500,495.94, 750,784.86 and 145,509.51

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Solution

The fourth proportional to 500,495.94, 750,784.86 and 145,509.51 is: 218,276.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,495.94 : 750,784.86 = 145,509.51 : x
  2. Step 2: Convert to fraction form
    500,495.94/750,784.86 = 145,509.51/x
  3. Step 3: Cross multiply
    500,495.94x = 750,784.86 × 145,509.51
  4. Step 4: Simplify right side
    500,495.94x = 109,246,337,094.02
  5. Step 5: Solve for x
    x = 109,246,337,094.02/500,495.94
  6. Step 6: Final answer
    x = 218,276.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.