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Finding the Fourth Proportional to 723,130, 997,814.64 and 400,840

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Solution

The fourth proportional to 723,130, 997,814.64 and 400,840 is: 553,101.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,130 : 997,814.64 = 400,840 : x
  2. Step 2: Convert to fraction form
    723,130/997,814.64 = 400,840/x
  3. Step 3: Cross multiply
    723,130x = 997,814.64 × 400,840
  4. Step 4: Simplify right side
    723,130x = 399,964,020,297.60
  5. Step 5: Solve for x
    x = 399,964,020,297.60/723,130
  6. Step 6: Final answer
    x = 553,101.13

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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.