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Finding the Fourth Proportional to 505,302.36, 697,312.98 and 278,943

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Solution

The fourth proportional to 505,302.36, 697,312.98 and 278,943 is: 384,938.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,302.36 : 697,312.98 = 278,943 : x
  2. Step 2: Convert to fraction form
    505,302.36/697,312.98 = 278,943/x
  3. Step 3: Cross multiply
    505,302.36x = 697,312.98 × 278,943
  4. Step 4: Simplify right side
    505,302.36x = 194,510,574,580.14
  5. Step 5: Solve for x
    x = 194,510,574,580.14/505,302.36
  6. Step 6: Final answer
    x = 384,938.98

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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.