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Finding the Fourth Proportional to 472,425, 651,946.50 and 260,457

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Solution

The fourth proportional to 472,425, 651,946.50 and 260,457 is: 359,430.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,425 : 651,946.50 = 260,457 : x
  2. Step 2: Convert to fraction form
    472,425/651,946.50 = 260,457/x
  3. Step 3: Cross multiply
    472,425x = 651,946.50 × 260,457
  4. Step 4: Simplify right side
    472,425x = 169,804,029,550.50
  5. Step 5: Solve for x
    x = 169,804,029,550.50/472,425
  6. Step 6: Final answer
    x = 359,430.66

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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.